218432272101249 has 16 divisors (see below), whose sum is σ = 291833221280000. Its totient is φ = 145326431907216.

The previous prime is 218432272101221. The next prime is 218432272101287. The reversal of 218432272101249 is 942101272234812.

It is not a de Polignac number, because 218432272101249 - 2⁵ = 218432272101217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218432272101198 and 218432272101207.

It is not an unprimeable number, because it can be changed into a prime (218432272101149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66140742 + ... + 69364704.

It is an arithmetic number, because the mean of its divisors is an integer number (18239576330000).

Almost surely, 2^{218432272101249} is an apocalyptic number.

It is an amenable number.

218432272101249 is a deficient number, since it is larger than the sum of its proper divisors (73400949178751).

218432272101249 is a wasteful number, since it uses less digits than its factorization.

218432272101249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269724.

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 218432272101249 in words is "two hundred eighteen trillion, four hundred thirty-two billion, two hundred seventy-two million, one hundred one thousand, two hundred forty-nine".